Explicit building the nonlinear coherent states associated to weighted shift Zp dp+1/ dzp+1 of order p in classical Bargmann representation
... z p dz p+1 ; p = 0, 1, ..... are non-wandering and hypercyclic operators on classical Bargmann space, the space of entire functions with Gaussian measure.In this way,the aim of this paper is to construct nonlinear coherent states corresponding to Hp , where A and A∗ are the standard Boson annihilati ...
... z p dz p+1 ; p = 0, 1, ..... are non-wandering and hypercyclic operators on classical Bargmann space, the space of entire functions with Gaussian measure.In this way,the aim of this paper is to construct nonlinear coherent states corresponding to Hp , where A and A∗ are the standard Boson annihilati ...
Many-Electron States - cond
... we do not need the full eigenfunction but only the corresponding one-body density matrix and the diagonal elements of the two-body density matrix. It is then tempting to try to calculate the ground state energy of an N -electron system by finding the two-electron density matrix that leads to the low ...
... we do not need the full eigenfunction but only the corresponding one-body density matrix and the diagonal elements of the two-body density matrix. It is then tempting to try to calculate the ground state energy of an N -electron system by finding the two-electron density matrix that leads to the low ...
DERIVATIONS, DIRICHLET FORMS AND SPECTRAL ANALYSIS
... and right actions of B as bounded linear operators on H. If H is such a bimodule, then a derivation ∂ : B → H is a map with the Leibniz property ∂(ab) = (∂a)b + a(∂b). The above question now asks whether given a Dirichlet form E there is a Hilbert module H and a derivation ∂ so that k∂ak2H = E(a). I ...
... and right actions of B as bounded linear operators on H. If H is such a bimodule, then a derivation ∂ : B → H is a map with the Leibniz property ∂(ab) = (∂a)b + a(∂b). The above question now asks whether given a Dirichlet form E there is a Hilbert module H and a derivation ∂ so that k∂ak2H = E(a). I ...
Performance of a parallel split operator method for the time
... In this paper we report on our experiences with optimizing a split-step operator algorithm for solving the time dependent Schrödinger equation. A vast number of quantum mechanical problem require the solution of this equation, such as femto- and attosecond laser physics [2], quantum optics [9], ato ...
... In this paper we report on our experiences with optimizing a split-step operator algorithm for solving the time dependent Schrödinger equation. A vast number of quantum mechanical problem require the solution of this equation, such as femto- and attosecond laser physics [2], quantum optics [9], ato ...
Coherent Exciton Dynamics in Semiconductor Superlattices:A Quasi
... Is the physics -dependent? Localized basis states depend on choice of , e.g. e(0) or e(-f) localized eigenvectors look physically different in terms of their vortices. ...
... Is the physics -dependent? Localized basis states depend on choice of , e.g. e(0) or e(-f) localized eigenvectors look physically different in terms of their vortices. ...
lecture notes - Analysis Group TU Delft
... These notes are based on the semester project of Yann Péquignot, Théorie spectrale et évolution en mécanique quantique, which was supervised by Prof. Boris Buffoni and myself at EPFL (Lausanne) in 2008. I am especially indebted to Yann for the exceptional quality of his work, and his permission ...
... These notes are based on the semester project of Yann Péquignot, Théorie spectrale et évolution en mécanique quantique, which was supervised by Prof. Boris Buffoni and myself at EPFL (Lausanne) in 2008. I am especially indebted to Yann for the exceptional quality of his work, and his permission ...
L17-20
... suggests how we should think about the indices j and k that are summed over in the Kraus decomposition of Aα . They represent information that is potentially available to us, but that we don’t have. Indeed, we can always imagine that there is a more capable agent than ourselves, who has two kinds of ...
... suggests how we should think about the indices j and k that are summed over in the Kraus decomposition of Aα . They represent information that is potentially available to us, but that we don’t have. Indeed, we can always imagine that there is a more capable agent than ourselves, who has two kinds of ...
Document
... • For reasons that will become apparent shortly, operators like the translation operator are often called “symmetry operators.” ...
... • For reasons that will become apparent shortly, operators like the translation operator are often called “symmetry operators.” ...
Calculation of C Operator in PT -Symmetric Quantum
... exhibits a spectrum that is real and positive. By PT symmetry we mean the following: The linear parity operator P performs spatial reflection and thus reverses the sign of the momentum and position operators: PpP −1 = −p and PxP −1 = −x. The antilinear time-reversal operator T reverses the sign of th ...
... exhibits a spectrum that is real and positive. By PT symmetry we mean the following: The linear parity operator P performs spatial reflection and thus reverses the sign of the momentum and position operators: PpP −1 = −p and PxP −1 = −x. The antilinear time-reversal operator T reverses the sign of th ...
